pagan religion vs faith

pagan religion and faith both are nouns.

Word	Noun	Adjective	Verb	Adverb
pagan religion	Yes	No	No	No
faith	Yes	No	No	No

As nouns, faith is a hypernym of pagan religion; that is, faith is a word with a broader meaning than pagan religion:

pagan religion: any of various religions other than Christianity or Judaism or Islamism
faith: a strong belief in a supernatural power or powers that control human destiny

Other hypernyms of pagan religion include religion, religious belief.

pagan religion (noun)	faith (noun)
any of various religions other than Christianity or Judaism or Islamism	loyalty or allegiance to a cause or a person
	a strong belief in a supernatural power or powers that control human destiny
	complete confidence in a person or plan etc
	an institution to express belief in a divine power